62 citations · 64 across the 5 of their papers we have counts for
Showing math.NAShow all
3 papers · 1 filter
math.NA2021
An adaptive dynamical low rank method for the nonlinear Boltzmann equation
Jingwei Hu, Yubo Wang
Efficient and accurate numerical approximation of the full Boltzmann equation has been a longstanding challenging problem in kinetic theory. This is mainly due to the high dimensio…
math.NA2020★ 62 cited
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation
Lukas Einkemmer, Jingwei Hu, Yubo Wang
We introduce a dynamical low-rank method to reduce the computational complexity for solving the multi-scale multi-dimensional linear transport equation. The method is based on a ma…
math.NA2020★ 2 cited
Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods
Jingwei Hu, Lorenzo Pareschi, Yubo Wang
We propose a control variate multilevel Monte Carlo method for the kinetic BGK model of the Boltzmann equation subject to random inputs. The method combines a multilevel Monte Carl…